Abstract : The Galerkin-Kantorovich-Dorodnitsyn multimoment integral method is an approximate technique for solving the Prandtl boundary layer equations. This technique is extended to calculate the normal velocity and the normal pressure gradient in the boundary layer for laminar, incompressible flow. The normal velocity and pressure gradient distributions are evaluated for linearly retarded flow and flow about a circular cylinder. The normal flow quantities appear to diverge as separation is approached. Near separation, the solutions appear to be inconsistent with the assumption that the pressure change across the boundary layer is small. (Author)